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Finding the Fourth Proportional to 206.92, 310.58 and 98.79

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Solution

The fourth proportional to 206.92, 310.58 and 98.79 is: 148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.92 : 310.58 = 98.79 : x
  2. Step 2: Convert to fraction form
    206.92/310.58 = 98.79/x
  3. Step 3: Cross multiply
    206.92x = 310.58 × 98.79
  4. Step 4: Simplify right side
    206.92x = 30,682.20
  5. Step 5: Solve for x
    x = 30,682.20/206.92
  6. Step 6: Final answer
    x = 148.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.